What is the answer to |1-3x|=|4x+5| ?

The answer to |1-3x|=|4x+5| is x=-6\lor x=-4/7

Solve for x: |1-3x|=|4x+5|

The solution is x=-6\lor x=-4/7

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∣ 1 - 3 x ∣ = ∣ 4 x + 5 ∣

x = - 6 or x = - \frac{4}{7}

Decimal

x = - 6, x = - 0.57142 \dots

Solution steps

∣ 1 - 3 x ∣ = ∣ 4 x + 5 ∣

Find positive and negative intervals

x < - \frac{5}{4}, - \frac{5}{4} \leq x \leq \frac{1}{3}, x > \frac{1}{3}

Solve the inequality for each interval

x = - 6 or x = - \frac{4}{7} or No Solution

x = - 6 or x = - \frac{4}{7}

2 ∣ x - 3 ∣ + 2 = 5 x - 6

x^{2} - 2 x - 3 = 0

∣ x + 3 ∣ - 2 = ∣ x ∣ + 2 x

∣ k - 3 ∣ = 2 k + 6

∣ 3 x - 2 ∣ = ∣ x - 4 ∣

What is the answer to |1-3x|=|4x+5| ?
The answer to |1-3x|=|4x+5| is x=-6\lor x=-4/7
Solve for x: |1-3x|=|4x+5|
The solution is x=-6\lor x=-4/7